Method and apparatus for employing specialist belief propagation networks

ABSTRACT

A method and apparatus for processing image data is provided. The method includes the steps of employing a main processing network for classifying one or more features of the image data, employing a monitor processing network for determining one or more confusing classifications of the image data, and spawning a specialist processing network to process image data associated with the one or more confusing classifications.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. patent application Ser. No.16/282,298 titled “Method and Apparatus for Employing Specialist BeliefPropagation Networks”, filed Feb. 22, 2019 to El Dokor, currentlypending, which is a continuation of U.S. patent application Ser. No.15/986,898 titled “Method and Apparatus for Spawning Specialist BeliefPropagation Networks for Adjusting Exposure Settings”, filed May 23,2018 to El Dokor, now U.S. patent Ser. No. 10/909,426, which is acontinuation of U.S. patent application Ser. No. 14/517,844 titled“Method and Apparatus for Spawning Specialist Belief PropagationNetworks for Adjusting Exposure Settings”, filed Oct. 18, 2014 to ElDokor, currently pending, which is a continuation of U.S. patentapplication Ser. No. 14/145,945 titled “Method and Apparatus forSpawning Specialist Belief Propagations Networks Based Upon DataClassification”, filed Jan. 1, 2014 to El Dokor, now U.S. Pat. No.8,891,859; which is a continuation of U.S. patent application Ser. No.13/897,470 titled “Method and Apparatus for Spawning Specialist BeliefPropagation Networks”, filed May 20, 2013 to El Dokor, now U.S. Pat. No.8,644,599; which is in turn a continuation of U.S. patent applicationSer. No. 13/221,903 titled “Method and Apparatus for ConfusionLearning”, filed Aug. 31, 2011 to El Dokor, now U.S. Pat. No. 8,467,599,which in turn claims the benefit of U.S. Provisional Patent ApplicationSer. No. 61/379,706 titled “Imaging”, filed Sep. 2, 2010 to El Dokor,the entire contents thereof being incorporated herein by reference.

FIELD OF THE INVENTION

This invention relates generally to computer processing algorithms, andmore particularly to computer processing algorithms that determine whena particular analysis may be difficult to perform, and thereforepreferably spawns a sub-processing routine based upon a determination ofthe type of difficulty being encountered. Most particularly, theinvention relates to the use of such a confusion learning method andapparatus in an environment employing computer vision recognition, oneor more sub-processing routines being spawned based upon one or moredetermined difficult-to-interpret computer vision entities.

BACKGROUND OF THE INVENTION

Background modeling when performing machine vision processing hastraditionally been a difficult problem. Typical background modelingalgorithms utilize pixel-based approaches. For example, in (Culibrk, D.,Marques, O., Socek, O., Kalva, H., & Furht, B. (2007). Neural NetworkApproach to Background Modeling for Video Object Segmentation. IEEETransactions on Neural Networks, 18 (6), 1614-1627), a subnet is used ona per-pixel basis, such that most lighting conditions associated with aparticular pixel are encapsulated in that subnet and learned for anysuch given pixel. This approach, like so many others utilizing anAI-based approach for background, is insufficient and inefficient.Drastic lighting conditions may severely impact such approaches. Moreimportantly, a per-pixel subnet is extremely expensive and is difficultto implement in real-time.

In (Parzen, E. (1962). On the Estimation of a Probability DensityFunction and the Mode. Annals of Math. Stats., 33, 1065-1076), Parzenshows that if the data is consistent, then Equation 1 is presented asfollows.E|ƒ _(n)(X)−ƒ(X)²|→0 as n→∞  Equation 1E represents the energy that is associated with a given function f, andthis lends itself useful to a special class of neural networks calleddeep belief nets, in which pairwise layer learning becomes veryvaluable, and a Gibbs sampling procedure may be used in a classificationphase.

When using such systems, an expected classification error for eachclassification step gets smaller as the datasets employed in trainingand processing get larger. However, the inventors of the presentinvention have determined that the error associated with one or more ofthe classification steps typically reaches a global minimum beyond whichimprovements are not possible. More importantly, the inventors of thepresent invention have determined that in practice, such errors are notnearly as negligible as Parzen's work had theorized. The existence ofthese errors reduces the ability to properly recognize and categorizeone or more image features.

Some advanced machine vision processing may employ one or more deepbelief networks, Such deep belief networks typically employ restrictedBoltzmann Machines (RBMs). A Restricted Boltzmann machine (RBM) issimilar to a multilayer perceptron (MLP) in that it consists of binaryneurons that communicate with other neurons via synaptic connections ofdiffering weights. These neurons exist either in the visible layer,meaning that their desired state can be set and observed, or in a hiddenlayer, in which case their desired state is unknown. Also, an RBMdiffers from a normal Boltzmann machine in that visible-to-visible andhidden-to-hidden synaptic connections are disallowed. An RBM consists ofexactly one visible and one hidden layer. These two layers can befurther reproduced and stacked to form a deeper network.

The binary state of atypical RBM neuron, i, is represented by s_(i),where s_(i)∈{0,1}. A weight of the synaptic connection between visibleneuron i and hidden neuron j is represented by w_(ij). Neurons can alsohave biases, represented by b_(i) for neuron i. The following conditionsare true for synaptic connections in an RBM:

-   -   There are no synaptic connections between any two neurons in the        same layer, there is no synaptic connection between a neuron and        itself, and all synaptic connections are symmetrical. These        rules are set forth in Equation 2.

Equation 2

-   -   w_(i(n)i(m))=0 There is no synaptic connection between any two        neurons in the same layer.    -   w_(ii)=0 There is no synaptic connection between a neuron and        itself.    -   w_(ij)=w_(ji) Any synaptic connections between two neurons are        symmetrical        FIG. 8 depicts a two-layer RBM embodying this situation. As is        shown in FIG. 8 , such a two-layer Restricted Boltzman Machine        1000 is formed of a visible layer 1010 and a hidden layer 1030.        Visible layer 1010 is formed of a plurality of neurons 1020        while hidden layer 1030 is formed of a plurality of neurons        1040. Symmetrical synaptic connections between each neuron in        one of the hidden and visible layers and all of the neurons in        the other of the hidden and visible layers 1050 are shown. As        noted above, there are no synaptic connections between any        neuron and itself, or any other neurons in a same layer in which        it resides.

In addition to being binary, the neurons in an RBM are also stochastic,with their probability of being active given by Equation 3:

$\begin{matrix}{{p\left( {s_{i} = 1} \right)} = \frac{1}{1 + {\exp\left( {{- b_{i}} - {\sum\limits_{j}{s_{j}w_{ij}}}} \right)}}} & {{Equation}3}\end{matrix}$

Multiple layers of RBMs are often utilized, consisting of more than onehidden layer. Given initial data in the visible layer, sometimescomprised of input pixels in applications of computer vision, a greedylearning process that is similar to (Hinton, G., Osindero, S., & Teh, Y.(2006). A fast learning algorithm for deep belief nets. NeuralComputation, 18, 1527-1554) may be utilized for an unsupervised learningalgorithm (discussed below). Once a first hidden layer is substantiallytrained (by defining various synaptic connections as described above), asecond hidden layer may be trained in a similar manner, treating thefirst hidden layer as the new visible layer for training purposes. Thisprocess can be repeated until the desired number of hidden layers hasbeen trained. Every additional hidden layer can increase the probabilitythat the RBM's visible layer will match the original training data,improving the RBM's generative model. FIG. 9 shows a simple four-layer,18-neuron RBM 1100, comprising visible layer 1110, first hidden layer1120, second hidden layer 1130 and third hidden layer 1140.

Visible layer 1110 in FIG. 9 represents a sensory input to the RBM,while the three hidden layers represent feature detectors that can betrained using a greedy learning algorithm. The first hidden layer 1120contains features of the visible layer, the second hidden layer 1130contains features of the first, and the third hidden layer 1140 containsfeatures of the second hidden layer. This concept can also be extendedto more hidden layers. The more layers are trained, the more abstractthe representation.

Once all layer-pairs of the RBM are pretrained and fine-tuned (viasupervised backpropagation), the RBM theoretically should be able toaccurately reconstruct a data vector in the visible layer based on thesynaptic connection weights and neuron biases. However, because of thestochastic nature of the neurons in an RBM, some thought needs to begiven to data sampling. The trained data vector in an RBM can be sampledthrough alternating Gibbs sampling. Given a random data vector, weightsare iteratively updated between the various layers until equilibrium isreached. Two steps are used for updating each layer. First, in order toupdate each of the hidden (feature detector) neurons, s_(j), based oneach of the visible neurons, s_(i), each hidden neuron is switched onwith a probability as shown in Equation 4.

$\begin{matrix}{{p\left( {s_{j} = 1} \right)} = \frac{1}{1 + e^{({{- b_{j}} - {\sum\limits_{i \in {({visible})}}{s_{i}w_{ij}}}})}}} & {{Equation}4}\end{matrix}$After the hidden neurons are updated, the visible neurons are thenupdated based on the new states of the hidden neurons. Each visibleneuron, s_(i), is switched on with a probability as shown in Equation 5.

$\begin{matrix}{{p\left( {s_{i} = 1} \right)} = \frac{1}{1 + e^{({{- b_{j}} - {\sum\limits_{i \in {({hidden})}}{s_{j}w_{ij}}}})}}} & {{Equation}5}\end{matrix}$

Equations 4 and 5 above define probabilities. The weights and biases inan RBM only determine the likelihood of any particular neuron beingactivated. Alternating Gibbs sampling is also used in order to observethe RBM's trained data vector, instead of a single pass through thenetwork like in an MLP. The two alternating steps of Gibbs processing intwo or more adjacent layers may alternate until the probability offinding the RBM in any particular state stays constant, even if thestates of the individual neurons in either layer are changing. An RBMthat satisfies this condition is said to have reached “thermalequilibrium”, see (Hinton, Osindero, & Teh, 2006).

Many learning approaches have been suggested for training DBNs. Someapproaches focus on discovering structure from input, if the intendedpurpose involves the classification of 2D and 3D objects. For instance,in (Hinton, Osindero, & Teh, 2006), a DBN is used to discover featuresand an overall structure in the input. A DBN approaches learningstructure and extracting features through a series of layers, in whichevery two layers are trained independently, in a manner as describedabove. This allows for an unsupervised learning step that progressivelyextracts more abstract features, until the penultimate layer of anetwork (layer before last). A smaller set of preclassified data maythen be used under undirected training conditions to assign labels tothe training sets and train the network on the classification step. So,the approach is comprised of two fundamental steps (Hinton, Osindero, &Teh, 2006):

-   -   1. Learn new features, and more abstract representations of such        features in an unsupervised manner    -   2. Learn classification associated with such features in a        supervised manner, or rather, a semi-supervised manner.        Such an approach does not, however, classify the data without        another discriminative learning model used to train the RBM with        a (possibly smaller) set of pre-classified data.

For instance, RBMs are used in Hinton's unsupervised learning algorithmdigit example (Hinton, Osindero, & Teh, 2006) by taking pixel data asthe visible layer and feature detectors as the hidden layer. Everyfeature detector neuron, j, is connected to every pixel, i, with acertain weight, w_(ij). Each weight is initially zero but is repeatedlyupdated based on Equation 6.Δw _(ij)=ε(<s _(i) s _(j)>_(data) −<s _(i) s_(j)>_(reconstruction))  Equation 6

In equation 6, ε is the learning rate constant. The <s_(i)s_(j)>_(data)term is how often pixel i and feature detector j are both on in a batchof 100 (for example) training images when the states of the featuredetectors have been updated based on training data (pixel states) in thevisible layer. Similarly, <s_(i)s_(j)>_(reconstruction) is how oftenpixel i and feature detector j are both on in such an exemplary batch of100 training images when the pixels in the visible layer have beenupdated based on the states of the feature detectors in the hiddenlayer. A similar approach can be used to update the biases b_(i) ofvisible neurons i as shown in Equation 7.Δb _(i)=ε(p(s _(i,data)=1)−p(s _(i,reconstruction)=1))(5)  Equation 7Note that the learning rate constant, ε, need not be the same as thecorresponding constant in equation (4). The p(s_(i,data)=1) term is theprobability of the pixel i being “ON”, or activated, according to thetraining data, while the p(s_(i,reconstruction)=1) term is theprobability of the same pixel being on according to the RBM'sreconstruction of the image. The biases, like the weights, are alsoupdated every 100 training images, for example. A similar equation maybe used for the biases of each hidden unit. Other sets of trainingimages may also be employed.

There are many problems that are associated with the current RBMs.Although such a class of AI algorithms performs very well, and the deepnature of the network can, at times, outperform other implementations,they still lack in some fundamental areas:

Lack of tractability. RBMs are intractable as a solution, explaining theinability of an RBM to completely represent a dataset no matter howclean such a set is in the feature space.

Incapability of learning more complex structures. Although deeptopologies have been successfully used, such topologies lack the abilityto glean complex relationships that shallower topologies can alreadyhave. In the end, RBMs fundamentally lack the complex neuronal modelthat is associated with biological neural networks.

RBMs don't offer a means for improving the quality of recognitionautonomously. RBMs are feature detectors.

No “eureka moment” for RBMs. RBMs don't hit a magical plateau, beyondwhich the error rate suddenly falls exponentially. Such an ability isinnately useful to AI applications. The reason why such a processdoesn't exist is because of the RBM's incapability of acquiring anddefining new feature classes on its own

RBMs are not monitored in real-time. RBMs don't evolve. The premise ofutilizing them is that first an AI is trained, and then it is used.

RBMs do not allow flexibility in training. There is only one mode oftraining, based on greedy learning.

It would therefore be beneficial to present a method and apparatus forovercoming the drawbacks of the prior art through modification the RBMtopology and architecture to address the aforementioned and otherdrawbacks.

SUMMARY OF THE INVENTION

In accordance with one or more embodiments of the present invention, oneor more new topologies and new combinations of topologies are presentedthat are capable of drastically reducing error rates in the acquisitionand interpretation of data, and in particular machine vision learningbased data, by improving upon the prior art model described aboveassociated with the classical restricted Boltzmann Machines (RBM) thatis currently being used in conjunction with currently-implemented deepbelief networks. The results presented in accordance with one or moreembodiments of the present invention as applied to machine visionpreferably comprise one or more novel belief propagation artificialintelligence networks that are highly adept at learning new features anddecoupling confusing scenarios. Thus, the decoupling of such confusionscenarios, dubbed confusion learning, presents one or more systems thatare capable of understanding and acknowledging confusing scenarios inone or more acquired sets of data. Thus, upon determination of such aconfusing scenario, which may be identified in accordance with one ormore systems in which an RBM reaches a global minimum with an error ratestill being unacceptably high, the system presented in accordance withone or more embodiments of the invention is preferably capable ofdefining and spawning one or more specialist belief propagationnetworks, each of whose purpose is to train on and therefore address oneor more of the confusing scenarios, preferably allowing a specializedsub-system, represented by a subnetwork, to make an intelligent choicebetween a substantially smaller set of possible response of outputclasses, after such classes have effectively been pruned by the mainbelief propagation network. Thus, in accordance with one or morepreferred embodiments of the present invention, a collaborative andcompetitive approach is presented that borrows very closely the notionof intelligence being a set of neuron modules that are competing with,helping, and collaborating with one another.

Because complementarity is not violated if the above spawned specialistbelief propagation networks are repeatedly used infinitely or evenbranched infinitely in a number of directions, the inventive BeliefPropagation artificial intelligence system will eventually reach anequilibrium state. The pair-wise greedy learning algorithm can thereforebe extended to associate various learning topologies, including onesthat involve different modules and types of modules. Therefore, inaccordance with one or more embodiments of the present invention amodular approach to error minimization may be preferably provided inwhich a subnet can cascade onto another subnet, and complementary priorsare still maintained with respect to a subset in the feature space,while improving the prior model itself since specialist subnets targetsuch priors and are expressly trained to handle them. Complexarchitectures may be created to support this concept, and thus improveerror rates by improving the priors that are associated with variousnetworks.

One or more features discovered by the feature detector neurons can bevisualized by plotting the weight of every synaptic connection to all ofthe pixels in the visible layer. These connections are weighted in sucha way that each neuron corresponds to some global or local feature ofthe training set. FIG. 10 depicts example plots of six of the featuredetector synaptic connection weights visualized in this manner aftervarious indicated training epochs. In FIG. 10 , the lighter valuessignify a higher connection weight, while the darker values show a lowerconnection weight. These visualizations depict abstract representationsof features that are associated with the networks themselves.

Still other objects and advantages of the invention will in part beobvious and will in part be apparent from the specifications anddrawings.

The invention accordingly comprises the several steps and the relationof one or more of such steps with respect to each of the others, and theapparatus embodying features of construction, combinations of elementsand arrangement of parts that are adapted to affect such steps, all asexemplified in the following detailed disclosure, and the scope of theinvention will be indicated in the claims.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the invention, reference is made tothe following description and accompanying drawings, in which:

FIG. 1 is a flowchart diagram depicting a relationship between a main,monitor and specialist belief propagation network in accordance with anembodiment of the present invention;

FIG. 2 is a flowchart diagram depicting a sequence of image segmentationin accordance with an embodiment of the invention;

FIG. 3 is a representation of an array of pixels in accordance with anembodiment of the invention;

FIG. 4 is a pixel representation depicting population by a foreground,occluded or background object;

FIG. 5 is the flowchart of FIG. 1 , and including example plots offeature detectors in accordance with an embodiment of the invention;

FIG. 6 is an example of a resulting belief propagation network'smorphological visualizations in accordance with an embodiment of theinvention;

FIG. 7 is a flowchart diagram depicting a process for modifying exposuresettings in accordance with an embodiment of the present invention;

FIG. 8 depicts a prior art two-layer Restricted Boltzman Machine;

FIG. 9 depicts a four layer, 18 neuron two-layer Restricted BoltzmanMachine; and

FIG. 10 depicts example plots of six of the feature detector synapticconnection weights visualized in this manner after various indicatedtraining epochs, in this case 10, 20, and 30 epochs.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

One or more embodiments of the invention will now be described, makingreference to the following drawings in which like reference numbersindicate like structure between the drawings.

Details of one or more preferred embodiments of the invention will nowbe provided making reference to the following drawings in which likereference numbers denote similar structure. Referring first to FIG. 1 ,a flowchart diagram is shown depicting a relationship between a mainbelief propagation network 110, a monitor belief propagation network120, and a specialist belief propagation network 130. belief propagationnetwork 110 performs a traditional deep belief network machine visionacquisition process, controls classification of objects, and allows someoutput neurons to wander, and is further monitored by monitor beliefpropagation network 120. belief propagation network 120 is adapted tocontrol one or more features of acquisition by main belief propagationnetwork 110, including but not limited to control of depth of field,accuracy, addition of various feature classes, and the like. Inaccordance with one or more embodiments of the present invention,monitor belief propagation network 120 is further adapted to determinewhen a settled decision point is causing confusion to the system, i.e. asettled minimum error level associated with one or more determinedfeatures has an uncertainty higher than a predetermined threshold level.Not only is the monitor belief propagation network 120 adapted to makesuch a determination, but also to classify the type of confusion that isgenerating the potential issue. Thus, through a confusion learningprocess, monitor belief propagation network 120 is preferably adapted todetermine an appropriate specialist belief propagation network 130 (orto spawn generation of such a specialist belief propagation network) toaid in further processing a determined problem or potential issue. Insuch a manner, the overall system can act in a quick and efficientprocessing manner, while being flexible enough to recognize a difficultinterpretation portion of an acquisition, classify the portion basedupon one or more characteristics thereof, spawn an appropriatespecialized belief propagation network 130 to process the recognizedconfusing portion, and return a processing result to main beliefpropagation network 110. Specialized belief propagation network 130 mayalso be further adapted to spawn further nested specialist beliefpropagation networks (preferably in accordance with monitor beliefpropagation network 120), essentially infinitely, to further deal withany additional sub-dividable problem issues.

The existence of complimentary priors leads to a reliable reduction inoverall error prediction rates, since

$\begin{matrix}{{p\left( {y{❘x}} \right)} = {\prod\limits_{j}{p\left( {y_{j}{❘x}} \right)}}} & {{Equation}8}\end{matrix}$where y and x represent neurons from different layers, and the factorialrelationships presented are maintained in this approach. The inventivebelief propagation artificial intelligence approach in accordance withone or more embodiments of the present invention adaptively improves aglobal minimum that may be reached with the entire dataset beingprocessed by the main belief propagation network 110 by spawningspecialist subnets that can identify and isolate problems, with errorrates being orders of magnitude less than they are in the existing stateof the art. Employing such a feedback system does not precludeprocessing to continue in an infinite manner through Gibbs sampling. Foran undirected graphical model, the Hammersley-Clifford theorem, see(Hammerseley, J. M., & Clifford, P. (1971). Markov Random Fields onFinite Graphs and Lattices), continues to hold true, such thatconditional independencies, given by.y _(j)

y _(k) |x, for j≠k  Equation 9

With the model presented in accordance with one or more embodiments ofthe present invention, the aim is to address the degrees of freedom thatare associated with a given classification problem, and in the process,improve the overall accuracy. As is noted above, such inventiveprocessing is performed in accordance with the processing of FIG. 1noted above, by main Belief Propagation AI Network 110 and one or moreassociated belief propagation subnets 130 representing different cliquesin the feature space, and built on top of some of the fundamental layersof the main belief propagation network. This part of the network wouldindeed be a directed graph, and would conform to the existing set. Oneor more added subnets in accordance with one or more embodiments of theinvention allows for more accuracy for one class and more substantiveanalysis of another class, i.e. more layers, further classification,etc. In fact, any expansion of the network into various subnets wouldalso be extensions of such directed graphs, branching into variousspecializations. This approach thus leads to increasing the lower boundof the likelihood that is associated with weaker output neurons byadding extra layers to the network-branched away from the main subnet asa specialization, effectively adaptively increasing the size of thenetwork, and substituting the results that are associated with suchweaker output neurons with results that instead belong to specialistsubnets. This is specifically accomplished by increasing the lower boundon the probability by the product, Π, of the appended subnet'slikelihoods, and their contribution to the overall network.

Reading in all output labels, and discerning patterns from portions ofthe output that may not have reached a local minimum (i.e. having a higherror probability), one or more potentially confusing patterns may betranslated into a new classification or label. Maintaining aconventional network structure allows the network to propagate throughconventional, usual, results, based on what has already been trained,while identifying confusing results is sufficient to activate thespecialist subnet, via the monitor subnet identifying such confusions.Once the confusing classifications have been identified by the monitorsubnet, as noted above with respect to FIG. 1 , a specialist subnet maybe first spawned and then trained, as a branch with just data from theconfusing set. The result is a two-tiered recognition process: 1) a moregeneral recognition with good discriminability employing the main beliefpropagation network, and 2) a novel branched subnet that is a specialistsubnet spawned and preferably trained through the monitor subnet. Thisspecialist subnet is preferably capable of addressing a subset ofproblems that the main belief propagation network has found “confusing”,hence the term confusion learning, and training.

In a way, confusion learning is therefore the equivalent of developinganew optimal minimum. The main belief propagation network is preferablyresponsible for finding a first global minimum associated with theentire learning set. Each specialist belief propagation network addresserrors associated with specialized aspects of the learning set, andhence define new, improved local minima in the feature space that isassociated with a subset of the population data. The specialist beliefpropagation networks may not be suitable for every case, and may not beable to cover every case, but they would enhance the recognition andreconstruction accuracy that is associated with their specializations.By targeting confusion outputs, the monitor belief propagation networkmitigates optimization problems, while still allowing the networkdegrees of freedom, a desired step to prevent the system from being toorestrictive.

Learning Background Models Employing the Belief Propagation ArtificialIntelligence Network

In accordance with one or more embodiments of the present invention, theabove-described processing system may be employed to classify variousimage background models. An image of the background may be defined apriori and segmented into constituent clusters. Such clusters and theirassociated data may then be fed into the network. A background model ispreferably learned for different lighting conditions, such as daytime,nighttime, and various different lighting sources. Once the labels thatare associated with such models are defined, a further expansion isattempted in which a foreground object is evaluated through pixel-wisesubtraction. Any background pixels are counted in such an operation. Ifthe pixel-wise operation provides a pixel value below a given threshold,then the pixel is classified as a background pixel and the associatedz-value is assigned. If the operation provides a pixel value above athreshold, then a disparity evaluation process, such as that described,for example, in U.S. patent application Ser. Nos. 13/025,038, 13/025,055and 13/025,070, all to El Dokor et al., each filed Feb. 10, 2011 theentire contents of each being incorporated herein by reference, may beused to evaluate disparity.

In accordance with one or more embodiments of the invention, avolatility index is preferably learned using the modified beliefpropagation architecture that has been presented above. Such an indexallows certain objects to be classified as stationary through abackground model that has been learned over a series of frames. Featuressuch as the size and color of the object are used in the trainingitself. Training may then be performed on different lighting conditionsto account for such changes. As lighting changes, features associatedwith the changes in the color and intensity space are incorporated intothe classification process.

Background modeling is very challenging in many computer visionproblems. Factors such as ambient lighting changes, cast lighting, castshadows, variable size, motion, occlusions, and other conditions candrastically change a scene's background model. This can affectalgorithms, like stereo imaging, very negatively, in which a backgroundmodel is necessary to mitigate effects of cast lighting and castshadows. It can also increase the overall amount of compute power thatis required for the algorithm to function properly. Properly isolatingthe background, while accurately and consistently maintaining it iscritical for defining foreground regions of interest.

Therefore, various embodiments of the present invention focus onmodeling the background as a series of segments with associatedfeatures. Such segments are then learned by the inventive beliefpropagation AI, where various lighting as well as distortion conditionsmay be introduced to improve robustness of background objectclassification. The inventive hierarchical processing system, includingone or more spawned specialist subnets and subnets of subnets, may thenused for hierarchical scene analysis in which a composite depth map ispreferably developed. For cast shadows as well as cast lighting for bothbackground and foreground (object of interest), the primary focus is tohighlight a learned combination of color and/or shape constancy of thebackground. There is a significant amount of work in the literature onmodeling cast shadows. When cast, shadows can be represented as atransformation of a pixel's associated color primitives into a spacethat is invariant to intensity. Values before and after a cast shadowmaintain consistency in the color space. For instance, a normalizedcolorspace is represented by Equation 10.

$\begin{matrix}{{r\left( {x,y} \right)} = \frac{R\left( {x,y} \right)}{{R\left( {x,y} \right)} + {G\left( {x,y} \right)} + {B\left( {x,y} \right)}}} & {{Equation}10}\end{matrix}$${b\left( {x,y} \right)} = \frac{B\left( {x,y} \right)}{{R\left( {x,y} \right)} + {G\left( {x,y} \right)} + {B\left( {x,y} \right)}}$${g\left( {x,y} \right)} = \frac{G\left( {x,y} \right)}{{R\left( {x,y} \right)} + {G\left( {x,y} \right)} + {B\left( {x,y} \right)}}$Where (x,y) represents the location of a pixel and r, g, and b representthe normalized values of the three channels red, green, and bluerespectively. The issue of a normalized colorspace lends itself usefulin any number of circumstances in which ambient lighting is consistentacross the image. To make an image model lighting-invariant, someresearch focuses on defining lighting models for the image, and thenutilizing such lighting models in the analysis of the effect of light onsurfaces.

Evidence shows that the HCV color space is more perceptually relevantthan other possible color spaces. There is significant evidence that ourown visual system is based on HSV or HCV, explaining color constancy.Hue represents the true color that is associated with a pixel (or anobject in this case). Saturation (or Chroma if used) represents thetotal amount of that color, and the value channel represents the actualintensity that is associated with the pixel. Because color is separatedinto its essentials, the color properties of various pixels remainrelatively constant as lighting conditions change. At the very least,this offers a gradual shift in the set of color features that can beused during training. So, provided a consistent image is obtained, thehue, or actual true color that is associated with a pixel should remainconstant.

More problems may arise however under various conditions. Specifically,if an imaging sensor is compensating for excess light, a designer maychoose to vary HDR settings, effectively “clipping” the upper end of thesensor's response to different color bandwidths. This may have a grayingeffect in the field-of-view, especially for foreground objects orobjects under extreme lighting conditions. Moreover, the lighting modelin and of itself may dramatically change, and so the color features thatare associated with a given object may not remain the same.

A deep belief network may be trained on defined background segments.Input to the network preferably includes segment features like number ofpixels, intensity values, and other statistics, as well as the entiresegments. The output of the network is a series of results representingthe confidence with which the network has determined a segment to be abackground segment. Segments can either be temporally stable orunstable.

As noted above as described in conjunction with FIG. 1 , duringtraining, a monitor network may be used to correct results that aregenerated by the main deep belief network itself. This is done throughcorrelating the false positive data sets. Once the false positivepopulation is segmented into targeted regions, a specialist subnet maybe spawned and trained, building on a predefined number of layers fromthe original belief propagation network. The specialist subnet may beactivated by the monitor subnet, once an active state belonging to thatset is identified. Multiple specialist subnets can also be spawned bythe monitor subnet, either independently or as nested specialistsubnets. This constitutes having the improved prior model that wasdiscussed earlier, in which the error rate is mitigated for specificcases of the data population.

Application to Scene Modeling

A scene is represented in a hierarchical fashion in which objects areclassified as either belonging to background, or foreground or acombination of the two. After an initial segmentation step is performedin which a scene is represented through a number of segments, eachsegment is qualified according to how static or active it is. Forinstance, a large wall in the FOV that is computed at a large distanceis generally part of the background and is probably going to be static.A large object at higher disparity, such as a wall, is also assumed tobe stationary. Features such as the size, dimensions and span of a walloffer saliency and aid in the identification of such an object asbelonging to the background. While color is another important feature,it is not absolutely necessary to use color as a primary feature. Inreal-time, once a background model has been defined, further analysis isdone on a per-pixel basis to identify whether a pixel belongs to theforeground or background. Accordingly, a volatility index is utilized toinfluence an object into staying at a given depth, in this case thebackground, and not be recalculated. This is consistent with sceneorganization, in the sense that a scene is organized into a series ofobjects, some of which are very relevant to a background, and some ofwhich are very relevant to a foreground. To manage such a system offeatures and fluctuating importance, a nonlinear volatility index isused that is associated with various objects. The volatility index,combined with one or more processes as set forth in the above-referenced'038, 055 and '070 applications, allows the inventive system to have avery efficient and crisp representation of various objects, 1)highlighting foreground objects and constantly updating their relevantfeatures, and 2) diminishing the overall impact of background objects bymaking them less prone to reevaluation and depth estimation.

Referring next to FIG. 2 , classification features are preferablyextracted from the various segments in an unsupervised or semisupervisedtraining manner. Thus as is shown in FIG. 2 , image segmentation isfirst performed on an image at step 210. Then at step 220, variousobjects in the field of view are identified, and at step 230, using theinventive belief propagation AI, scene organization and training isperformed to assign one or more volatility indexes to determinedsegments. Real time image analysis is performed at step 240, and finallyone or more pixels are identified as belonging to one or more existingobjects or to a new object.

Once training is completed a pixel can then be classified as belongingto a background segment or not. FIG. 3 below highlights an example ofthe concept. An (x,y) location will attain multiple z locations. Thisnotion is consistent with real-world applications. Semi-occlusions orocclusions force typical algorithms to deal with a significant amount ofdata computation, making them in many cases prohibitive for real-timeanalysis. Instead, in accordance with one or more embodiments of thepresent invention, a process is utilized which may consist of breakingup the scene hierarchically into various segments, such that salientfeatures of such segments enable the inventive belief propagation AI toidentify objects as background or foreground objects. In one particularimplementation, the scene is subdivided into three ranges of data: 1)foreground, 2) middle-distance, and 3) background, as shown in FIG. 3 .

A three-dimensional map being analogous to a box of cylindricalcontainers is apt in this case. Such a representation is shown in FIG. 3in which each cylinder 310 represents an (x,y) pixel coordinate. As isfurther shown in FIG. 4 , each pixel represented by cylinder 310 can bepopulated by a foreground object pixel 410 as well as a backgroundobject pixel 430 and an occluded object pixel 420. Thus, if a foregroundobject occludes a component of a background object or some intermediateobject, then these objects will concurrently occupy the same (x,y) pixellocations, as shown in FIG. 4 , for different z values.

Referring next to FIG. 5 , the image of FIG. 1 is shown, this timeincluding example plots 510 of six of the feature detector synapticconnection weights for the main belief propagation network, and plots520 of three of the feature detector synaptic connection weights for aspecialized belief propagation network visualized after variousindicated training epochs

This inventive approach is not similar to known recurrent temporal RBMs(TRBMs), or TRBMs. (See (Sutskever, I., Hinton, G., & Taylor, G. W.(2008). See The Recurrent Temporal Restricted Boltzmann Machine. NIPS(pp. 1601-1608.). MIT Press), for an overview of such a family of RBMs.)A quick look at the topologies TRBMs, vs. the inventive approachjustifies the logic behind the inventive approach. More importantlythough, a conceptual difference belies this point: In the inventivespecialist belief propagation AI, abstract representations are replacedwith other representative representations that are still very much asabstract, but more specialized. So, fundamentally, the difference isthat instead of going from the specific to the abstract, as is the casewith a typical RBM or a typical TRBM, various embodiments of the presentinvention present the case where a network is migrating from thespecific to the specialized. This is accomplished through the modifiedprior as described above. Another main difference with a typical RBM isthat the neurons in this belief propagation network need not bestochastic. The network functions just as well with neurons thatfunction as linear accumulators/gates.

Confusion learning presented in accordance with embodiments of thepresent invention provides that one or more monitor subnets cansupervise the creation and elimination of specialist subnets, whosepurpose is to identify and visualize the relationships between thevarious “confusing classes”, and perform countermeasures to suchconfusions. The countermeasure of choice is to spawn a specialistnetwork whose purpose it is to eliminate or otherwise address theconfusion. This is assuming that the main subnet is providing a coarseestimate, in essence pruning the decision space to a few classes. Oncespawned and adequately trained, the specialist subnet can significantlyenhance the accuracy of the AI by focusing on the confusing cases,disregarding all other such cases, and classifying the fewer classes ata much lower error rate.

Hence, new subnets can be spawned in a similar fashion for at least twotypes of cases. First, a new class or combination of classes that is notbeing identified correctly may be the subject of such a spawned subnet.Additionally, an otherwise undefined case may warrant a monitor subnetto assign to such cases a brand new class in the main subnet, thusgenerating a new specialized subnet.

Application to Classification of Lighting Conditions

Classifying various lighting conditions is traditionally an extremelydifficult problem. If lighting conditions in a field of view arecorrectly understood by a learning imaging system, the steps involved inscene organization are significantly simplified. However, classifyingvarious lighting conditions is not a trivial task. In fact, most currentalgorithms are usually either provided as part of an imaging sensor, oras a separate component of an ISP in typical chips. A third alternativeis to perform post processing on the data. For a recent review of thestate of the art, see (Battiato, Messina, & Castorina, 2009). In any ofthe above cases, the usual method involves a type of global histogramcalculation, involving lightness, chromaticity, or a combination of theabove. There exists some work in the literature on the utilization ofartificial neural networks or artificial intelligence in general, formodification of camera parameters like autofocus. For instance Canon hasa system with a multipoint artificial intelligence unit, see (AdairKing, 2011), that chooses the best autofocus points. Canon'simplementation is strictly for autofocus, and is applicable for mostlystill cameras and would be inappropriate for high frame rateapplications. Additionally, the implementation does not modify exposuresettings, which is an all together different problem.

In accordance with one or more embodiments of the present invention, abelief propagation AI, described above, is preferably applied toadaptively characterize and modify exposure settings. One examplerealization of such a system may be accomplished through a combinationof lightness and chromaticity, used to train the new AI on three or moredifferent exposure settings, in this particular example,underexposedness, overexposedness, and well-exposedness of an imagescene by camera parameters. An example of the resulting beliefpropagation topology's morphological visualizations is shown in FIG. 6 .

Once the exposure settings are trained, the network may be used toclassify various scene exposure settings. The camera's exposure settingsmay then be modified, such that the AI is used in a feedback loop toincrement or decrement that set of exposure values as is necessary toconverge the scene on cases of well exposedness. The belief propagationAI can also modify other settings in addition to, or instead of exposuresettings.

An overview of a control mechanism with a feedback loop to perform suchprocessing for adaptively updating exposure settings for betterbackground or other modeling. is presented in FIG. 7 . As is shown inFIG. 7 , a sensor board 710 acquires one or more images according to oneor more default exposure settings 715. The acquired image is thenprocessed in accordance with a depth engine 720 in a manner as describedabove. At step 725 it may be queried whether hand tracking is to takeplace. If it is, then a hand ROI 730 is employed with an inventiveBelief Propagation AI 740 (including one or more subnets in accordancewith various embodiments of the present invention). If hand tracking isnot to be performed, a default ROI 735 may be employed in accordancewith the Belief Propagation AI BBM 740. It is then determined at step745 whether poor image quality has been achieved. If not, the gesturerecognition is performed at step 750, where processing passes back todepth engine 720 to further process the acquired image. If, on the otherhand, it is determined at step 745 that there is in fact poor imagequality, then it is further inquired at step 755 whether maximumexposure settings are being employed, for example. If yes, then an NIRtoggle 770 is applied in hardware at sensor board 710, while if maximumexposure settings are not employed, exposure settings are updated atstep 760 based on the inventive approach's scene classification, andemployed in processing at step 765 in place of originally employeddefault exposure settings 715. Thus, in accordance with an embodiment ofthe invention, various exposure settings may be modified in accordancewith the invention.

Disparity Decomposition Learning in the Feature Space

Another implementation for the identification of foreground andbackground pixels is through closer analysis of the disparitydecomposition space, as set forth in the noted '038, '055 and '070applications. The inventive AI is trained to recognize solid clusters ornodes of energy in the disparity space. Such clusters represent regionsof very high likelihood in the z-domain. These nodes are thensuperimposed on segment-based depth estimates, per the noted '038, '055and '070 applications. This is preferably accomplished with a mixture ofisotropic Gaussians, such that every Gaussian is centered around a majornodule of energy, representing the presence of a cluster of pixels inthe disparity decomposition domain. To pass the overlap ratio results indisparity decomposition, an overlap ratio may be chosen that isasymmetrical to account for occlusion handling. This is accomplished bysetting up thresholds in disparity decomposition that change based onthe disparity value under evaluation. One embodiment of this approachcan be represented by setting up higher pixel-based disparitydecomposition thresholds in the foreground, or higher disparity values,and lower thresholds for disparity evaluations of the background. Theresult is a smooth representation of the disparity domain. For a givenlarge segment, the absence of such clusters in the disparity domain atvarious disparities of the foreground can be interpreted as the clusterbeing a background cluster.

Alternative embodiments employing one or more of the above describedembodiments of the invention may include one or more of the following:

A Smart Visible/IR Range Camera Network

A novel smart camera network has been developed for tracking andrecognition of objects and gestures of interest over space and time. Thenodes of the network preferably operate for both daytime as well asnighttime conditions. Each node may be comprised of two dual-sensorconfigurations. One dual-sensor may operate at visible range, whileanother dual sensor of the same node may operate in the infra-red (IR)range. The dual-sensor node may reconstruct depth via a GPU-based (orother appropriate processing system) range/disparity algorithm. Atrained artificial intelligence unit, comprised of a belief propagationnetwork, described earlier, may be utilized to determine which node touse for any given observation, as well as which dual sensor to utilizewithin the same node. For instance, and depending on lighting conditionsfrom various angles, the belief propagation AI may choose the visiblerange dual sensor on one node and the IR dual-sensor on the other.

The network's performance is superior to other smart camera networkswhich utilize an AI or a simple trained deep belief network, as well asother networks which are specialized for just one spectrum of light oranother. Furthermore, the network's scalability mitigates issues withocclusion, as well as light handling.

Performance of the network may also be enhanced with a GPUimplementation that exploits the architecture of a GPU to provide for amassively multi-threaded implementation. A similar implementation canalso be accomplished with an APU, with the advantage of exploiting anonboard CPU for the serial components.

Another performance enhancement may be accomplished by adequatelymodeling the background and producing a reliable, robust model which canbe integrated with real-time input from the smart camera network.

Facial Expression Detection and Recognition

A facial expression recognition belief propagation AI has been developedthat may incorporate stereo vision as well as a multi-segment beliefpropagation network. This novel AI may be comprised of two maincomponents: 1) a facial expression recognition subnet provided inaccordance with one or more subnets as described above that ispreferably trained on various facial expressions, and 2) a monitorsubnet that assesses and supervises the performance of the firstnetwork, in a manner similar to the overall architecture and networktopologies as described above.

Once candidate regions are identified via stereo algorithms, a featureset may be extracted from each of these candidate regions. This featureset preferably constitutes the input to the facial expressionrecognition system. The output of the facial expression recognitionsystem may be fed into the input of the monitor system. The monitorsystem is preferably considerably smaller and is tasked with assessingthe accuracy of face detection, as part of the output from the facialexpression recognition system. The monitor system may thus evaluatewhether “face events” are present and have been accurately classified asdifferent expressions. If the results are satisfactory, the monitorsystem may be trained to release these results as an output of theoverall system. In a manner consistent with the above description, themonitor subnet may also spawn other belief propagation AIs to furtherenhance recognition performance, by creating the aforementionedspecialist subnets that are capable of improving accuracy in a small,but confusing set of the data population of facial expressions.

This architecture for facial expression recognition represents a shifttowards a more robust and autonomous system. An extra feature may beadded to the monitor system to enable it for further classification ofother, new, unclassified face events, and “encourage” the facialexpression system to collect more data on novel events. The facialexpression recognition system has the ability to incorporate more facialexpression events into its output. The monitor system enables“curiosity” in the overall system.

Self-Correcting, Emotional, and Curious AI for Facial, Gestural, AndOther Recognition Applications

A new belief propagation architecture is presented that may be comprisedof three or more types of subnets: 1) a deep belief propagation subnetthat is responsible for gesture recognition, and 2) a second type ofbelief propagation subnet that is responsible for facial expressiondetection and recognition, and 3) a monitor subnet that manages thefirst two classes of subnets, and 4) unassigned and untrained subnets,available autonomously to the monitor subnet, to be spawned by themonitor subnet to either create a new class of recognition, orspecialist subnet for the existing classes of recognition. The approachis consistent with the above-described system, and therefore followsthrough logically and mathematically therefrom.

The input layers of the first two subnets may be comprised of facial aswell as gesture data. The third subnet has as its input the outputs ofthe other two subnets.

The entire architecture may build on a stereo or a dense stereo smartgrid implementation, incorporating stereo data, along with an extractedfeature set that is specific to facial as well as gestural input. Themonitor system may access and evaluate events from both subnets.

The monitor system may also assign unlabeled input data to an unassignedsubnet. This may occur if the monitor system “takes interest” in arecurring set of unlabeled data that can't be classified as eithergestural or facial, by either the main subnets of both, or theassociated specialist subnets. In such a case, a reserve subnet may bespawned, activated and trained, and its output events are also accessedand evaluated by the monitor subnet. The reserve subnet still buildsupon the overall main network, and preferably utilizes the mainnetwork's trained layers as its first few layers before branching intospecialist subnets.

By activating a reserve subnet, the AI exhibits artificial curiosity.The inventive reserve subnet activation can be attributed to a series ofextracted features that are consistently being analyzed by the monitorsubnet. By training such reserve subnets, the AI exhibits artificialemotion, mainly characterized by autonomously training a new subnet witha new set of features. Designers may intervene and craft aspects of newsubnets as appropriate, or even prevent the belief propagation networkfrom spawning reserve subnets. Training a new subnet also encompasses anoptimization step that identifies the appropriate topology for a newfeature set.

It will thus be seen that the objects set forth above, among those madeapparent from the preceding description, are efficiently attained and,because certain changes may be made in carrying out the above method andin the construction(s) set forth without departing from the spirit andscope of the invention, it is intended that all matter contained in theabove description and shown in the accompanying drawings shall beinterpreted as illustrative and not in a limiting sense.

It is also to be understood that this description is intended tocoverall of the generic and specific features of the invention hereindescribed and all statements of the scope of the invention which, as amatter of language, might be said to fall there between.

What is claimed:
 1. A method for processing multi-dimensional data,comprising the steps of: a) acquiring one or more sets ofmulti-dimensional data by a main deep belief propagation network; b)determining one or more features of the acquired multi-dimensional data;c) determining a settled minimum error level associated with one or moreof the one or more features of acquisition; d) employing a monitoringbelief propagation network to determine whether the settled minimumerror level is greater than a predetermined threshold; and e)autonomously training a new subnet to process the one or more determinedfeatures in accordance with the determination that the settled minimumerror level associated with the one or more determined features isgreater than the predetermined threshold.
 2. The method of claim 1,wherein the step of autonomously training the new subnet furthercomprises the steps of: employing a main deep belief propagation networkfor classifying one or more features of the multi-dimensional data;employing a monitor deep belief propagation network for determining oneor more classifications of the multi-dimensional data; and employing thenew subnet to process multi-dimensional data associated with the one ormore determined classifications.
 3. The method of claim 2, furthercomprising the steps of: employing the monitor deep belief propagationnetwork for determining one or more classifications of themulti-dimensional data by the new subnet; and autonomously training asecond new subnet to process multi-dimensional data associated with oneor more of the one or more determined classifications of themulti-dimensional data processed by the new subnet.
 4. He method ofclaim 3 further comprising the step of autonomously training a third newsubnet to process data processed by the second new subnet.
 5. The methodof claim 2, wherein image multi-dimensional data processed by the newsubnet is provided to the main deep belief propagation network directlyor via analysis and updates by the monitor deep belief propagationnetwork.
 6. The method of claim 2, wherein the monitor deep beliefpropagation network employs a volatility index for determining one ormore classifications of the multi-dimensional data.
 7. The method ofclaim 2, wherein the classifications comprise one or more objects, oneor more salient features being used to train one or more of the mainbelief propagation networks and new subnet.
 8. The method of claim 2,wherein the classifications allow for performance of disparitydecomposition via disparity decomposition metrics that change thresholdsadaptively with disparity values.
 9. The method of claim 8, wherein theperformance of disparity decomposition further comprises a step ofextraction of energy nodules that are used in training the new subnet onvarious settings.
 10. The method of claim 2, further comprising the stepof computing a volatility index associated with performance of disparityspace decomposition in accordance with autonomously training one or morenew subnets in accordance with one or more analysis and stabilitymetrics.
 11. The method of claim 2, wherein a more comprehensivetopology is employed comprising a plurality of subnets branching fromthe main deep belief propagation network to deal with variousmodalities.
 12. The method of claim 11, wherein one or more additionalnew subnets are utilized unrelated to either facial or gestureexpression recognition.
 13. The method of claim 2, wherein themulti-dimensional data comprises image data.